Briefly, our present proposal can be characterized as
an implementation of the
same non-Hermitian model-building
strategy using arbitrary \(N \ge 2\) .
The explicit form of the innovation will be
outlined
in section , while its
physical
background and consequences
will be discussed in section .
In a complementary section 
we will finally add a few comments on the
correspondence between the present
\(N-\) step
Hermitizations of the Hilbert-space-changing form
\({\cal H}_{math}\rightarrow {\cal H}_{phys}\) 
and the
older, Dyson-inspired [1]}, [2]}
and Hamiltonian-changing
model-building flowcharts.
